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Experimental Results of Modeling Variable Order System Based on Discrete Fractional Variable Order State-Space Model

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Theoretical Developments and Applications of Non-Integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 357))

Abstract

The paper presents experimental results of modelling fractional variable order system with using Discrete Fractional Variable Order State-Space Model. Experimental results were obtained based on modified multi-order switching analog realization for a case of constant parameter case, that is also introduced in this paper. During identification process two algorithms were used: direct and dual. Additionally, joint estimation results for parameter estimation were presented, in order to verification of constant parameter for proposed analog model.

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References

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Acknowledgments

This work was supported by the Polish National Science Center with the decision number DEC-2011/03/D/ST7/00260

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Correspondence to Dominik Sierociuk .

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Sierociuk, D., Macias, M., Ziubinski, P. (2016). Experimental Results of Modeling Variable Order System Based on Discrete Fractional Variable Order State-Space Model. In: Domek, S., Dworak, P. (eds) Theoretical Developments and Applications of Non-Integer Order Systems. Lecture Notes in Electrical Engineering, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-23039-9_11

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  • DOI: https://doi.org/10.1007/978-3-319-23039-9_11

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